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References

1
Sverre J. Aarseth. Direct Methods for N-Body Simulations. In Multiple Time Scales, pages 377-418. Academic Press, Inc., 1985.

2
D. V. Anosov. Geodesic Flows and Closed Riemannian Manifolds with Negative Curvature. Proc. Steklov Inst. Math, 90:1, 1967.

3
Josh Barnes and Piet Hut. A hierarchical tex2html_wrap_inline4171 force-calculation algorithm. Nature, 324:446-449, 4 December 1986.

4
Joshua Barnes, Jeremy Goodman, and Piet Hut. Dynamical instabilities in spherical stellar systems. The Astrophysical Journal, 300:112-131, 1986.

5
Joshua E. Barnes and Piet Hut. Error analysis of a tree code. Astrophysical Journal Supplement Series, 70:389-417, 1989.

6
James Binney and Scott Tremaine. Galactic Dynamics. Princeton Series in Astrophysics. Princeton University Press, 1987.

7
R. Bowen. tex2html_wrap_inline4530 -Limit Sets for Axiom A Diffeomorphisms. Journal of Differential Equations, 18:333, 1975.

8
Silvina Dawson, Celso Grebogi, Tim Sauer, and James A. Yorke. Obstructions to Shadowing When a Lyapunov Exponent Fluctuates about Zero. Physical Review Letters, 73(14):1927-1930, 3 Oct 1994.

9
Al Geist, Adam Beguelin, Jack Dongarra, Weicheng Jiang, Robert Manchek, and Vaidy Sunderam. PVM: Parallel Virtual Machine:A Users' Guide and Tutorial for Network Parallel Computing. Available via anonymous ftp from netlib2.cs.utk.edu:/pvm3/book/pvm-book.ps.

10
Jeremy Goodman, Douglas C. Heggie, and Piet Hut. On the exponential instability of N-body systems. The Astrophysical Journal, 415:715-733, 1993.

11
Celso Grebogi, Stephen M. Hammel, James A. Yorke, and Tim Sauer. Shadowing of Physical Trajectories in Chaotic Dynamics: Containment and Refinement. Physical Review Letters, 65(13):1527-1530, 24 September 1990.

12
Leslie Greengard and Vladimir Rokhlin. A fast algorithm for particle simulation. Journal of Computational Physics, 73:325, 1987.

13
Ernst Hairer, Syvert Paul Nørsett, and Gerhard Wanner. Solving Ordinary Differential Equations I - Nonstiff Problems. Springer-Verlag, 1980.

14
D. C. Heggie and R. D. Mathieu. Standardized units and time scales. In Piet Hut and S. L. W. McMillan, editors, Standardized Units and Time Scales, pages 233-235. Springer-Verlag, 1986.

15
Lars Hernquist, Piet Hut, and Jun Makino. Discreteness noise versus force errors in N-body simulations. Astrophysical Journal Letters, 402:L85-L88, 1993.

16
Alan C. Hindmarsh. LSODE and LSODI, two new initial value ordinary differential equation solvers. ACM-SIGNUM Newsletter, 15(4):10-11, 1980.

17
J. Garrett Jernigan and David H. Porter. A tree code with logarithmic reduction of force terms, hierarchical regularization of all variables, and explicit accuracy controls. Astrophysical Journal Supplement Series, 71:871-893, 1989.

18
David Kahaner, Cleve Moler, and Stephen Nash. Numerical Methods and Software. Prentice-Hall series in Computational Mathematics. Prentice-Hall, 1989.

19
Henry E. Kandrup and Haywood Smith. On the sensitivity of the N-body problem to small changes in initial conditions. The Astrophysical Journal, 374:255-265, 1991.

20
Henry E. Kandrup and Haywood Smith. On the sensitivity of the N-body problem to small changes in initial conditions. II. The Astrophysical Journal, 386:635-645, 1992.

21
Henry E. Kandrup, Haywood Smith, and David Willmes. On the sensitivity of the N-body problem to small changes in initial conditions. III. The Astrophysical Journal, 399:627-633, 1992.

22
M. Lecar. A comparison of eleven numerical integrations of the same gravitational 25-body problem. Bull. Astron., 3:91, 1968.

23
Thomas A. McGlynn. Dissipational collapse of galaxies and initial conditions. The Astrophysical Journal, 281:13-30, 1984.

24
David Merritt and Luis A. Aguilar. A numerical study of the stability of spherical galaxies. Monthly Notices of the Royal Astronomical Society, 217:787-804, 1985.

25
Dimitri Mihalas and James Binney. Galactic Astronomy -- Structure and Kinematics. Princeton Series in Astrophysics. Freeman, 1981.

26
R. H. Miller. Irreversibility in small stellar dynamical systems. The Astrophysical Journal, 140:250, 1964.

27
D. Pfenniger and D. Friedli. Computational issues connected with 3D N-body simulations. Astronomy and Astrophysics, 270:561-572, 1993.

28
William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Numerical Recipes in C. Cambridge University Press, second edition, 1992.

29
Gerald D. Quinlan and Scott Tremaine. On the reliability of gravitational N-body integrations. Monthly Notices of the Royal Astronomical Society, 259:505-518, 1992.

30
J. A. Sellwood. The global stability of our Galaxy. Monthly Notices of the Royal Astronomical Society, 217:127-148, 1985.

31
J. A. Sellwood. The art of N-body building. Annual Review of Astronomy and Astrophysics, 25:151-86, 1987.

32
Jaswinder Pal Singh, John L. Hennessy, and Anoop Gupta. Implications of Hierarchical N-body Methods for Multiprocessor Architecture. Technical Report CSL-TR-92-506, Computer Systems Lab, Stanford University, Stanford, CA 94305, 1992.

33
Simon D. White. Simulations of sinking galaxies. The Astrophysical Journal, 274:53-61, 1983.


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Wayne Hayes
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